A rectangular prism measures 7 ft by 8 ft by 6 ft. Find both volume and surface area.
Show reasoning / computation: __________________________________________
CCSS 7.G.B.6 · volume & surface area of right prisms
Surface Area and Volume of Right Prisms Worksheets
Connect base area, prism length, volume, and total surface area. Foundation sets stay with rectangular prisms; later sets can introduce right triangular prisms with all required dimensions supplied.
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Surface Area & Volume of Right Prisms
Diagrams are part of the problem data, not decorative assets. Student pages keep solution-specific marks hidden; reveal answers or use the separate PDF key to check work.
Problem 1
Problem 2
A right triangular prism has an isosceles triangular base with base 8 cm, height 4 cm, equal sides 5.66 cm, and prism length 7 cm. Find volume and surface area.
Show reasoning / computation: __________________________________________
Problem 3
A right triangular prism has an isosceles triangular base with base 4 ft, height 6 ft, equal sides 6.32 ft, and prism length 4 ft. Find volume and surface area.
Show reasoning / computation: __________________________________________
Problem 4
A right triangular prism has an isosceles triangular base with base 4 in, height 4 in, equal sides 4.47 in, and prism length 7 in. Find volume and surface area.
Show reasoning / computation: __________________________________________
Problem 5
A right triangular prism has an isosceles triangular base with base 6 ft, height 8 ft, equal sides 8.54 ft, and prism length 7 ft. Find volume and surface area.
Show reasoning / computation: __________________________________________
Problem 6
A right triangular prism has an isosceles triangular base with base 8 in, height 8 in, equal sides 8.94 in, and prism length 9 in. Find volume and surface area.
Show reasoning / computation: __________________________________________
Problem 7
A right triangular prism has an isosceles triangular base with base 6 cm, height 6 cm, equal sides 6.71 cm, and prism length 4 cm. Find volume and surface area.
Show reasoning / computation: __________________________________________
Problem 8
A rectangular prism measures 5 in by 6 in by 4 in. Find both volume and surface area.
Show reasoning / computation: __________________________________________
Teaching note 1
Volume of a right prism is base area times prism length/height.
Teaching note 2
Surface area includes both bases plus every lateral face.
Teaching note 3
Volume uses cubic units; surface area uses square units.
Continue the 7.G progression
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Frequently asked questions
Do these include cylinders?
No. This Grade 7 route stays with cubes and right prisms; cylinder volume belongs to later standards.
Do triangular-prism problems give enough information?
Yes. The base, base height, equal side lengths, and prism length are all supplied so surface area is determinate.